کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4625856 | 1631774 | 2016 | 14 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A fifth-order finite volume weighted compact scheme for solving one-dimensional Burgers’ equation A fifth-order finite volume weighted compact scheme for solving one-dimensional Burgers’ equation](/preview/png/4625856.png)
In the present paper, a high-order finite volume compact scheme is proposed to solve one dimensional Burgers’ equation. The nonlinear advective terms are computed by the fifth-order finite volume weighted upwind compact scheme, in which the nonlinear weighted essentially non-oscillatory weights are coupled with lower order compact stencils. The diffusive terms are discretized by using the finite volume six-order Padé scheme. The strong stability preserving third-order Runge–Kutta time discretizations is used in this work. Numerical results are compared with the exact and some existing numerical solutions to demonstrate the essentially non-oscillatory and high resolution of the proposed method. The numerical results are shown to be more accurate than some numerical results given in the literature.
Journal: Applied Mathematics and Computation - Volume 281, 30 April 2016, Pages 172–185